4.7 Article

Quantum repeaters based on concatenated bosonic and discrete-variable quantum codes

期刊

NPJ QUANTUM INFORMATION
卷 7, 期 1, 页码 -

出版社

NATURE RESEARCH
DOI: 10.1038/s41534-021-00438-7

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资金

  1. ARO [W911NF-18-1-0020, W911NF-18-1-0212]
  2. ARO MURI [W911NF-16-1-0349]
  3. AFOSR MURI [FA9550-19-1-0399]
  4. DOE [DE-SC0019406]
  5. NSF [EFMA-1640959, OMA-1936118, EEC-1941583]
  6. NTT Research
  7. Packard Foundation [2013-39273]
  8. U.S. Department of Energy UT-Battelle/Oak Ridge National Laboratory [4000178321]
  9. National Science Foundation (NSF) RAISE-EQuIP program [1842559]
  10. University of Chicago Research Computing Center
  11. Div Of Electrical, Commun & Cyber Sys
  12. Directorate For Engineering [1842559] Funding Source: National Science Foundation

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The proposed architecture of quantum repeaters combines discrete- and continuous-variable quantum information techniques, encoding transmitted qubits in a concatenated code to enhance error correction capabilities and enable long-distance communication.
We propose an architecture of quantum-error-correction-based quantum repeaters that combines techniques used in discrete- and continuous-variable quantum information. Specifically, we propose to encode the transmitted qubits in a concatenated code consisting of two levels. On the first level we use a continuous-variable GKP code encoding the qubit in a single bosonic mode. On the second level we use a small discrete-variable code. Such an architecture has two important features. Firstly, errors on each of the two levels are corrected in repeaters of two different types. This enables for achieving performance needed in practical scenarios with a reduced cost with respect to an architecture for which all repeaters are the same. Secondly, the use of continuous-variable GKP code on the lower level generates additional analog information which enhances the error-correcting capabilities of the second-level code such that long-distance communication becomes possible with encodings consisting of only four or seven optical modes.

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